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anzhelika [568]
2 years ago
13

How much longer is a 2 1/2 inch long piece of string than a 2/5 long piece of string

Mathematics
2 answers:
Soloha48 [4]2 years ago
6 0
1 1/2 inches longer..
Rashid [163]2 years ago
4 0
It is 2.1 inches longer. Plz plz plz give me brainiest answer I only need 3 more to rank up. If u do I will show my work and show the answer as a fraction.
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The diagram shows an empty cylindrical container. Ana puts a solid cube of side length 8 cm into the container. She then pours 1
marshall27 [118]

Answer:

<h3><u>Cylinder</u></h3>

\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}

Given:

  • r = 6 cm
  • h = 18 cm

\begin{aligned}\implies \sf V &= \sf \pi (6)^2(18)\\& = \sf 648 \pi \: cm^3\end{aligned}

<h3><u>Cube</u></h3>

\textsf{Volume of a cube}=\sf x^3\quad\textsf{(where x is the side length)}

Given:

  • x = 8 cm

\begin{aligned}\implies \sf V &= 8^3\\& = \sf 512 \: cm^3\end{aligned}

<h3><u>Volume available to be filled with water</u></h3>

Volume of cylinder - volume of cube

= 684π - 512

= 1532.75204 cm³

    1 litre = 1000 cm³

⇒ 1.5 litres = 1000 × 1.5 = 1500 cm³

As 1500 < 1532.75204, the volume of water poured into the container is smaller than the empty space available in the cylinder.  Therefore, the water will <u>not</u> come over the top of the container.

4 0
2 years ago
Find x. Round your answer to the nearest tenth of a degree.
Kaylis [27]

Answer:

Step-by-step explanation:

hello :

tanx= 15/20

x=36.97°

7 0
3 years ago
The basketball court is 94 feet long how many inches is the length of the court
Lana71 [14]

Answer:

1,128

Step-by-step explanation:

94 x 12 = 1,128

what hy7h7yh

8 0
3 years ago
Read 2 more answers
As a town gets smaller, the population of its high school decreases by 8% each year. The senior class has 320 students now. In h
Semmy [17]

Answer:

in 13.95 years the senior class will have 100 students.

Step-by-step explanation:

P(h) = p(0.92)^t (equation for exponential change)

P(h) - population of highschool (or senior class) = 100

p - staring amount = 320

t = time in years

100 = 320(0.92)^t

1/3.2 = .92^t (divide both sides by 320)

log(1/3.2, .92) = t (log base 0.92 of 1/3.2 equals t)

13.9497 = t

6 0
2 years ago
One container is filled with a mixture that is 30%acid a second container is filled with a mixture that is 50%acid the second co
julsineya [31]

Answer:

The amount of acid in third container is =42%

Step-by-step explanation:

Given , one container is filled with a mixture that is 30% acid a second container filled with a mixture that is 50% acid and the second container 50% larger than the first .

Let, the volume of first container is = x

Then , the volume of second container = (x+ x of 50%)

                                                                 = x + 0.5 x

                                                                 = 1.5 x

Therefore the amount of acid in first container =x \times \frac{30}{100} = 0.3 x

The amount of acid in second container =1.5x \times \frac{50}{100}  = 0.75x

Total amount of acid= 0.3x + 0.75x = 1.05 x

Total amount  of solution = x+1.5x = 2.5x

The amount of acid in third container is = \frac{1.05x}{2.5x} \times 100% %

                                                                     = 42%

4 0
3 years ago
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